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Finding the Fourth Proportional to 273,324.90, 410,064.15 and 133,088.10

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Solution

The fourth proportional to 273,324.90, 410,064.15 and 133,088.10 is: 199,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,324.90 : 410,064.15 = 133,088.10 : x
  2. Step 2: Convert to fraction form
    273,324.90/410,064.15 = 133,088.10/x
  3. Step 3: Cross multiply
    273,324.90x = 410,064.15 × 133,088.10
  4. Step 4: Simplify right side
    273,324.90x = 54,574,658,601.62
  5. Step 5: Solve for x
    x = 54,574,658,601.62/273,324.90
  6. Step 6: Final answer
    x = 199,669.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.